The hypotenuse of a right triangles is 7 inches longer than the base and 14 inches longer than the height. The perimeter is 84 inches. Find its area

Answers

Answer 1

Answer:

294 in^2 = A

Step-by-step explanation:

Let h represent the length of the hypotenuse, b the base and h the height.  Because this is a right triangle, the Pythagorean Theorem applies.

(hypotenuse)^2 = (base)^2 + (height)^2

         h^2           =  (h - 7)^2  +  (h - 14)^2

Perimeter of the triangle is 84 inches, equal to (h) + (h - 7) + (h - 14), which in turn simplifies to 84 = h + h - 7 + h - 14, or 84 = 3h - 21, or 3h = 105.  Solving this for h, we get h = 35.

Then the base is (35 - 7), or 28, and the height is (35 - 14), or 21.

The area of the triangle is found using the formula

A = (1/2)(base)(height) = (1/2)(28)(21) = 294 in^2 = A


Related Questions

State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!

Answers

Answer:

acute

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)

Answers

Answer:

n = 8.15

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number?

Rewrite this as:    3/8 is (4  3/5)% of what number?

Convert 4 3/5% into a decimal:  0.046

Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.

Dividing both sides by 0.046, we get n = 8.15

pls help me with 15 and 16 I will make u brianlist thank u:)

Answers

Answer:

15.  c

16.  b

i hope you figure out later in life how to solve.

Answer:

A, D

Step-by-step explanation:

When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.

Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.

Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.

Which of the following equations describes the graph?

Answers

1/2x^2 - 2x +1

Step-by-step explanation:

it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)

as it is -1 there has to be a negative sign in equation

so the right one is 2nd one

Answer:

Step-by-step explanation:

the graph is clearly that of a parabola that opens up and has its vertex at (2, -1).  The coefficient of x^2 must be + because the parabola opens up.  

Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:

y + 1 = a(x - 2)^2  or  y = a(x - 2)^2 - 1

Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2

Answers

Answer:

The answer is option A.

804.2cm²

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

In a linear function, which of the following represents the average rate of change of the function? Slope y-intercept independent variable dependent variable

Answers

Answer:

the slope

Step-by-step explanation:

If the function is linear, the average rate of change of y with respect to x is the slope of the line.

Answer:

slope

Step-by-step explanation:

Plz help me-7.1(z-1.1)

Answers

Answer:

-7.1z +7.81

Step by step explanation:

[tex] - 7.1(z - 1.1)[/tex]

Multiply each term in paranthesis by -7.1

[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]

Multiply:

[tex] -7.1z + 7.81[/tex]

Hope this helps...

Good luck on your assignment..

Please help me prove that AÊD = B

Answers

Angle x = angle x in both triangles

Please help solve i give brainliest

Answers

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

Since both equations are equal to y, set them equal to each other

2x+3 = -3x+3

Subtract 3 from each side

2x = -3x

Add 3x to each sdie

2x+3x = -3x+3x

5x =0

Divide by 5

x=0

Now solve for y

y =2x+3

y = 0+3

y=3

(0,3)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

2x+3 = -3x+3

2x = -3x

2x+3x = -3x+3x

5x =0

x=0

The solve for y

y =2x+3

y = 0+3

y=3

(x,y)=(0,3)

Then (0,3) will be your answer!

Hope this help!

I need help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

This is just comparing what is bigger, I don't see what's so hard about it.

Step-by-step explanation:

1. >

2.>

3.>

4.>

5.<

6.<

7.>

8.<

b.

1.>

2.<

3.>

4.<

5.>

6.>

7.>

8.>

1) a: > b: >
2) a: > b: <
3) a: > b: >
4) a: > b: <
5) a: < b: >
6) a: < b: >
7) a: > b: >
8) a: < b: >

If P(x)= x3 –x2+1, Then P(0)+P(1) =

Answers

Answer:

[tex]p(0) + p(1) = 2[/tex]

Step-by-step explanation:

=> [tex]p(x) = x^3-x^2+1[/tex]

Putting x = 0 in p(x)

=> [tex]p(0) = (0)^3-(0)^2+1[/tex]

=> [tex]p(0) = 0-0+1[/tex]

=> [tex]p(0) = 1[/tex]

Putting x = 1 in p(x)

=> [tex]p(1) = (1)^3-(1)^2+1[/tex]

=> [tex]p(1) = 1-1+1[/tex]

=> [tex]p(1) = 1[/tex]

So,

=> [tex]p(0)+p(1) = 1+ 1[/tex]

=> [tex]p(0) + p(1) = 2[/tex]

The answer to this question is 2

In how many ways can we put six marbles in different colors into three jars? Note that the jars may be empty.

Answers

729

I’ve done this problem, what I wrote on my notebook was 3to the 6th power=729

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.

What is Permutation?

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,

Number of ways = ⁶P₃ × 3!

                            = 120 × 6

                            = 720

Hence, The number of ways in which 6 marbles can be put in three different jars is 720.

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Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12x-15

Step-by-step explanation:

In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked)  then subtracted 15, which was the fine she had to pay.

Answer:

12x-15

Step-by-step explanation:

I took the test

Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?

Answers

Answer:

D. The coefficient of the x^2-term must be positive.

Step-by-step explanation:

A. The coefficient of the x2-term can't be zero.

B. There can be no term whose degree is higher than 2.

C. One side of the equation must be zero.

D. The coefficient of the x2-term must be positive.

Quadratic equation is given as:

y=ax^2+bx+c

To use the quadratic formula,we have

ax^2+by+c=0

Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0

There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2

One side of the equation must be 0, that is ax^2+by+c=0

Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a

Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)

Answers

Answer:

D.(1,-1)

Step-by-step explanation:

A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both

Answer:

D. 1, -1

Step-by-step explanation:

Trust me g

Round 7, 165.482 to the nearest hundredth.
O 7, 200
O 7, 165.48
O 7, 165.49
O 7, 165.5

Answers

Answer:

7, 165.482 ≈ 7,165.48

Step-by-step explanation:

7, 165.482

Locate the hundredth:

7, 165.482

Check the number to the left:

7, 165.482

If the number is greater than or equal to five, we round up.

If the number is less than four, we round down.

2 is less than four.

Therefore:

7, 165.482 ≈ 7,165.48

The given number rounded to the nearest hundredth is 7, 165.48.

The given decimal number is 7,165.482.

We need to round 7,165.482 to the nearest hundredth.

How to round the decimal number to the nearest hundredth?

To round a number to the nearest hundredth, look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredth place, and then remove all the digits to the right.

Now, in the number 7,165.482 digits, the thousandth place is 2.

So, the number to the nearest hundredth is 7, 165.48

Therefore, the given number rounded to the nearest hundredth is 7, 165.48.

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will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18

Answers

Answer:

5+10/6+12

Step-by-step explanation:

5+10 is 15

6+12 is 18

so that would be 15/8 which is equal to 15/18

That is the best answer but this question doesn't really make sense.

Hope this helps!

Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!

actually 5/6 and 15/16 are not in proportion

since 6*15 is not equal to 16*5

3. If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypotenuse in centimeters?
O A. 573
OB. 5
C.3V5
D. 9​

Answers

Answer:

C.

Step-by-step explanation:

Translate this sentence into an equation.
75 is the product of Greg's score and 5.
Use the variable g to represent Greg's score.

Answers

Answer:

5g = 75

Step-by-step explanation:

Find the value of the trigonometric ratio, tan X.

Answers

Answer:

A. 24/7

What are sine, cosine, and tangent?

SOH - CAH - TOA

sine = opposite/hypotenuse

cosine = adjacent/hypotenuse

tangent = opposite/adjacent (that is not hypotenuse)

Step-by-step explanation:

tanX = ZY/XY = 48/14 = 24/7

Answer:

24/25

Step-by-step explanation:                    opposite side

The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25

                                                                adjacent side

For her phone service, Kala pays a monthly fee of $10 , and she pays an additional $0.04 per minute of use. The least she has been charged in a month is $69.48. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .

Answers

Answer:

1487

Step-by-step explanation:

The inequality is 0.04m + 10 ≥ 69.48. We use ≥ and not > because it says "least", indicating that we need to use the ≥ sign. Solving for m we get:

0.04m + 10 ≥ 69.48

0.04m ≥ 59.48

m ≥ 1487

The smallest integer that satisfies this inequality is 1487 minutes.

2x - 5y = 10
solve for Y
i’ll give brainliest

Answers

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Subtract 2x on both sides

-5y = 10 - 2x

Step 2: Divide everything by -5

y = -2 + 2/5x

Step 3: Rearrange

y = 2/5x - 2

Y=2/5x-2 I Believe So

Which expressions are equivalent to the one below? Check all that apply.
4^3•4x

Answers

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

What is an expression?

An expression is a combination of symbols and it does not convey full meaning of anything.

How to make equivalent expressions?

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

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Find the area of the given shape

Answers

Answer:

100

Step-by-step explanation:

A rhombus is split into four right triangles

The base of one is 5 and the hypontenuse is 10

So remember x^2y^2=z^2

5^2=25

25+y^2=100

Ok so y is between 8 and 9 so lets just use 8 first

5*8*1/2=20

there are 4 triangles so 20*4=80

now same thing with 9

5*9*1/2=22.5

22.5*4=90

your answer is between 80 and 90

btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it

Between 80 n 90.....

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, find a counterexample.

Answers

Answer:

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Step-by-step explanation:

Information is missing in the question, which would be the following:

A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

The options for answering the question are also missing, which by investigating I could know that they are as follows:

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True

B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.

C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Now we have that a conditional statement has the form of whether A then B.

Also, A contradictory statement is when we exchange the hypothesis and the conclusion of the sentence and deny them both. It has the following form if not A, then not B.

Therefore the answer is D)

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

Answer:

The expected value of the points earned on a single roll in this game is [tex]\dfrac{1}{6} = 0.1667[/tex] .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is   [tex]\dfrac{1}{6}[/tex] .

      Numbers on the dice (X)                       P(X)

                      +1                                                 [tex]\frac{1}{6}[/tex]

                      +2                                                [tex]\frac{1}{6}[/tex]

                      +3                                                [tex]\frac{1}{6}[/tex]

                      -4                                                 [tex]\frac{1}{6}[/tex]

                      +5                                                [tex]\frac{1}{6}[/tex]

                      -6                                                 [tex]\frac{1}{6}[/tex]

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X)  =  [tex]\sum X \times P(X)[/tex]

   =  [tex](+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}[/tex]

   =  [tex]\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}[/tex]

   =  [tex]\frac{1+2+3-4+5-6}{6}[/tex]

   =  [tex]\frac{11-10}{6}= \frac{1}{6}[/tex]

Hence, the expected value of the points earned on a single roll in this game is  [tex]\frac{1}{6} = 0.1667[/tex] .

The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.

Answers

Answer:

50

Step-by-step explanation:

I have set up an equation, where 'x' is the larger number:

x + (x - 12) = 88

Solve for 'x':

x + (x - 12) = 88  

x + x - 12 = 88

2x - 12 = 88

2x -12 + 12 = 88 + 12

2x =  100

2x/2 = 100/2

x = 50

The larger number should be 50.

Answer:50

Step-by-step explanation:

Can someone help? Two players take turns placing multiple chess kings on the cells of a 9×9 chess board, one king per move, so that the kings do not beat each other. (The color of a king piece does not matter.) The player who cannot make a move loses. Which player is the winner?

Answers

Answer:

  the first player wins

Step-by-step explanation:

The first player can always win if they adopt this strategy:

  1. make the first move in the center of the board

  2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.

Hence if the 2nd player can make a move, so can the first.

a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box​

Answers

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2


10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?

Answers

Answer:

2 1/3 hours or 2 hours 20 minutes.

51.4 mph to 1 decimal place.

Step-by-step explanation:

Time = distance  speed

First 50 miles time taken = 50 / 60  = 5/6 hours

Second 50 miles  -  time  =  50/40 = 5/4 hours.

Final 20 miles - time taken =  20 / 80 = 1/4 hours.

Total time taken = 5/6 + 5/4 + 1/4

= 5/6 + 6/4

= 10/12 + 18/12

= 28/12

=  7/3 or 2 1/3 hours or 2 hours 20 minutes.

Average speed = total distance / total time

=  120 / 7/3

= 120 * 3/7

=  51.4 mph to 1 decimal place.

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Discuss how "The Life of an American Fireman" reflected and perhaps shaped cultural beliefs in the United States in the early 20th Century: how does the film portray firefighters Describe the physical setting of the story. Which words or descriptions contribute to the emotional setting or mood? What is the mood that results from the author's use of description for beware of the dog? A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram. if the redius of a circle is 5cm what is the circumference Sample Response: If the electron transport system did not work, electrons from PSII would not be transferred to PSI. Ferredoxin would then have no electrons to transfer to NADP+ so NADPH would not be produced. This would also affect the light-independent reaction of photosynthesis because NADPH is needed in this reaction. What did you include in your response? Check all that apply. Electrons from PSII would not be transported to PSI. PSI would have no electrons to transport to ferredoxin. Ferredoxin would have no electrons to transport to NADP+. NADPH would not be produced. The light-independent reaction of photosynthesis would be affected. Which helped bring about the Era of Good Feelings? (Select all that apply) A) Emancipation laws freed slaves in the nation B) The end of the Federalist Party decreased political tension C) The pride felt by Americans following the War of 1812 D) Religious fervor was sweeping the nation Scott has eight CDs, and he picks two to take to work each day. How many different ways can Scott choose two CDs? 6th grade math heeelppppppppp :D Hitler's hatred of the Jews began with what assumption Jacob wants to learn how he can help ensure that the biodiversity of earth no longer decreases. which topic should he research?A. reducing pollution and preserving wildlife habitat.B. areas on earth with large amounts of un-mined coal.C. demand of rainforest timber and exotic animal'sD. energy generated from wild and high-cost windmills WILL GIVE BRAINLIEST AND 21 POINTS! Calculate the area of the triangle: A = MY FINAL QUESTION PLEASE TAKE A LOOK I JUST DONT UNDERSTAND!!!! WILL GIVE BRANLIEST PLS!!!! HELPPPPPP WHERE THE GENIUS A???!!!!?!?!1. What aspects of American history would provide important context for an informational article about the first black student to attend a desegregated school in the South? which is one way that waves erodes coastline? To raise an arm upward, the muscle on one side of its contracts. What happens to the muscle on the opposite side of the arm? A.contracts B.relaxes C.both contracts and relaxes D.neither contracts nor relaxes X= 3y-52x + 12y = -4This is a system of equations can somebody solve it you can use any method Graphical Designs is offering 10-10 preferred stock. The stock will pay an annual dividend of $10 with the first dividend payment occurring 10 years from today. The required return on this stock is 5.20 percent. What is the price of the stock today A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8. The measure of the angle subtended by the arc is .Which angle measure less than or equal to 360 is equivalent to an angle of ? The government uses population information for all of the following reasons EXCEPT:A. to declare warB. to plan for the futureC. to meet citizens' needsD. to better serve communitiesPlease select the best answer from the choices provided D Which effect is most likely to occur as a result of clear-cutting?extinction of speciesdeath of organismsspeciationglobal warming MWhich story premise contains the most conflict?